An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions
作者：
Highlights：
• Demonstration of loss of accuracy for the Keller box method when applied to a parabolic partial differential equation subject to a discontinuous boundary condition.
• Asymptotic analysis to derive a numerical method to recover accuracy.
• Demonstration of recovery of second-order accuracy using a boundary immobilization-like strategy.
• Substantial improvement on earlier methods for parabolic partial differential equations subject to discontinuous boundary conditions.
摘要
•Demonstration of loss of accuracy for the Keller box method when applied to a parabolic partial differential equation subject to a discontinuous boundary condition.•Asymptotic analysis to derive a numerical method to recover accuracy.•Demonstration of recovery of second-order accuracy using a boundary immobilization-like strategy.•Substantial improvement on earlier methods for parabolic partial differential equations subject to discontinuous boundary conditions.
论文关键词：Discontinuous boundary condition,Double-deck structure,Keller Box scheme
论文评审过程：Received 6 May 2020, Revised 28 December 2020, Accepted 4 January 2021, Available online 19 February 2021, Version of Record 19 February 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.125979
